Emergent properties in social networks with higher-order interactions

Soo Min Oh, Yongsun Lee and Byungnam Kahng

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

Abstract: This work develops mathematically tractable percolation models to explore emergent properties in a coauthorship network, which is a type of social network with higher-order interactions. The coauthorship network, consisting of papers and their coauthors, can be described by a simplicial complex (SC) representation. Empirical data for coauthorship considered in this work confirm that the dimension of a simplex for a paper and its coauthors follows a Poisson distribution. To describe this system, we first introduce homogeneous growing scale-free SCs (GSFSCs) with simplexes of uniform dimension stochastically established. We then extend the models to data-driven heterogeneous GSFSC models with simplexes dimensioned by the Poisson distribution. We finally confirm that these two types of models undergo infinite-order phase transitions, and the heterogeneous GSFSC behaves like the homogeneous GSFSC with simplexes dimensioned by the average of the considered Poisson distribution. These findings are anticipated to provide insight for investigating emergent properties in complex systems with higher-order interactions.

Keywords: Emergent properties; Social networks; Higher-order interactions; Percolation; Simplicial complexes; Scale-free (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006629

DOI: 10.1016/j.chaos.2025.116649

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